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114727313376 = 25321397315907
BaseRepresentation
bin110101011011001000…
…1111101111111100000
3101222010112200101012200
41222312101331333200
53334430143012001
6124412140253200
711201023034124
oct1526621757740
9358115611180
10114727313376
1144723639675
121a299b41200
13aa84a01b60
1457a4d81584
152eb7138086
hex1ab647dfe0

114727313376 has 144 divisors (see below), whose sum is σ = 354975710544. Its totient is φ = 34936676352.

The previous prime is 114727313341. The next prime is 114727313377. The reversal of 114727313376 is 673313727411.

114727313376 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 273 + 1 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114727313377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205215 + ... + 521121.

It is an arithmetic number, because the mean of its divisors is an integer number (2465109101).

Almost surely, 2114727313376 is an apocalyptic number.

114727313376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114727313376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177487855272).

114727313376 is an abundant number, since it is smaller than the sum of its proper divisors (240248397168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114727313376 is a wasteful number, since it uses less digits than its factorization.

114727313376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316033 (or 316022 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The spelling of 114727313376 in words is "one hundred fourteen billion, seven hundred twenty-seven million, three hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 582 624 776 873 936 1164 1248 1261 1552 1746 1872 2328 2522 3104 3492 3744 3783 4656 5044 6984 7566 9312 10088 11349 13968 15132 20176 22698 27936 30264 40352 45396 60528 90792 121056 181584 315907 363168 631814 947721 1263628 1895442 2527256 2843163 3790884 4106791 5054512 5686326 7581768 8213582 10109024 11372652 12320373 15163536 16427164 22745304 24640746 30327072 30642979 32854328 36961119 45490608 49281492 61285958 65708656 73922238 90981216 91928937 98562984 122571916 131417312 147844476 183857874 197125968 245143832 275786811 295688952 367715748 394251936 398358727 490287664 551573622 591377904 735431496 796717454 980575328 1103147244 1182755808 1195076181 1470862992 1593434908 2206294488 2390152362 2941725984 3186869816 3585228543 4412588976 4780304724 6373739632 7170457086 8825177952 9560609448 12747479264 14340914172 19121218896 28681828344 38242437792 57363656688 114727313376